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Finding the Fourth Proportional to 2,205.91, 3,044.07 and 1,211.16

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Solution

The fourth proportional to 2,205.91, 3,044.07 and 1,211.16 is: 1,671.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.91 : 3,044.07 = 1,211.16 : x
  2. Step 2: Convert to fraction form
    2,205.91/3,044.07 = 1,211.16/x
  3. Step 3: Cross multiply
    2,205.91x = 3,044.07 × 1,211.16
  4. Step 4: Simplify right side
    2,205.91x = 3,686,855.82
  5. Step 5: Solve for x
    x = 3,686,855.82/2,205.91
  6. Step 6: Final answer
    x = 1,671.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.